61411642240000 has 880 divisors, whose sum is σ = 168433630485120. Its totient is φ = 22236364800000.

The previous prime is 61411642239991. The next prime is 61411642240001. The reversal of 61411642240000 is 4224611416.

It is a super-2 number, since 2×61411642240000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61411642240001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153146239800 + ... + 153146240200.

It is an arithmetic number, because the mean of its divisors is an integer number (191401852824).

Almost surely, 2^{61411642240000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61411642240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84216815242560).

61411642240000 is an abundant number, since it is smaller than the sum of its proper divisors (107021988245120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61411642240000 is a wasteful number, since it uses less digits than its factorization.

61411642240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 61411642240000 its reverse (4224611416), we get a palindrome (61415866851416).

The spelling of 61411642240000 in words is "sixty-one trillion, four hundred eleven billion, six hundred forty-two million, two hundred forty thousand".